On perturbation bounds for orthogonal projections

DOI10.1007/s11075-016-0102-2zbMath1353.65030OpenAlexW2290915992MaRDI QIDQ329317

Xiao Shan Chen, Yan Mei Chen, Wen Li

Publication date: 21 October 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0102-2

zbMATH Keywords

Frobenius normorthogonal projectionperturbation bound

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

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Cites Work

• Composite orthogonal projection methods for large matrix eigenproblems
• A weighted pseudoinverse, generalized singular values, and constrained least squares problems
• New bounds for perturbation of the orthogonal projection
• Combined perturbation bounds. II: Polar decompositions
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Perturbation Bounds of Unitary and Subunitary Polar Factors
• Orthogonal projection and total least squares
• Combined Perturbation Bounds: I. Eigensystems and Singular Value Decompositions
• Perturbation bounds in connection with singular value decomposition
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